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Finding the Fourth Proportional to 51,864.40, 77,807.40 and 29,659.60

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Solution

The fourth proportional to 51,864.40, 77,807.40 and 29,659.60 is: 44,495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,864.40 : 77,807.40 = 29,659.60 : x
  2. Step 2: Convert to fraction form
    51,864.40/77,807.40 = 29,659.60/x
  3. Step 3: Cross multiply
    51,864.40x = 77,807.40 × 29,659.60
  4. Step 4: Simplify right side
    51,864.40x = 2,307,736,361.04
  5. Step 5: Solve for x
    x = 2,307,736,361.04/51,864.40
  6. Step 6: Final answer
    x = 44,495.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.